期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2021
卷号：17
期号：3
页码：761-769
DOI：10.18187/pjsor.v17i3.3516
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：The Lindley distribution may serve as a useful reliability model. Applications of this distribution are presented in statistical literature. In this article, a powerful goodness of fit test for the Lindley distribution is proposed. In order to compute the proposed test statistic, we use the maximum likelihood estimate (MLE) suggested by Ghitany et al. (2008), which is simple explicit estimator. By Monte Carlo simulation, critical points of the proposed test statistic for different sample sizes are obtained. Power values of the proposed test are compared with the competing tests against various alternatives via simulations. Finally, two real data are presented and analyzed.
关键词：Model validity; Lindley distribution; Goodness of fit tests; Kullback-Leibler information; Monte Carlo simulation; Power study
